My sister needs help on this?can anyone give an explanation and answer/show work? you'll be brainliest if you do! thank you so m

Question

4 years ago

9

My sister needs help on this?can anyone give an explanation and answer/show work? you'll be brainliest if you do! thank you so m

uch for taking the time :) v
Felicity recorded the number of laps she swam each month for 7 months.Her data is shown.
112,134,150,98,120,68,116
Which is the mean absolute deviation to the nearest whole number of Felicity's lap data?
A.16
B.18
C.20
D.36

Mathematics

1 answer:

Serggg [28] · Answer 1 · 2022-01-06T07:07:44+03:00

Answer C

to calculate mean absolute deviation, we need to use the formula = (∑|x-mean|)/n

where x is each term given in data set

n is number of terms = 7

mean = sum of terms / n = (112+134+150+98+120+68+116)/7 = 114

now find (∑|x-mean|) = 138

MAD = (∑|x-mean|) / n = 138 /7 = 19.714 = 20